1.1. This question is about an experiment with a retractable steel tape measure.

The tape measure is placed at the edge of the bench and about $1m$ of the steel tape is extended so that it overhangs the bench.

The tape is then locked in this position to stop it from retracting.

A student measures the dimensions $x$ and $y$, the horizontal and vertical displacements of the free end of the tape, as shown in Figure 1.

Figure 1

Describe a suitable procedure the student could use to measure $y$.
You may add detail to Figure 1 to illustrate your answer.

1.2. By changing the extension of the tape, the student obtains further values of $x$ and $y$.

These data are shown in Table 1.

Table 1

Suggest why the student chose to make all measurements of $x$ greater than $70cm$.

1.3. The data from the experiment suggest that $y=A{x}^{n}$ where $n$ is an integer and $A$ is a constant.

These data are used to plot the graph in Figure 2.

Determine $n$ using Figure 2.

Figure 2

1.4. Explain how the numerical value of $A$ can be obtained from Figure 2.

1.5. Estimate the order of magnitude of $A$.
You should use data for $x$ and $y$ from any one row in Table 1.
Give your answer with an appropriate unit.